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3679114410 = 2325314728057
BaseRepresentation
bin1101101101001010…
…1101010010101010
3100111101220101011200
43123102231102222
530013323130120
61405024105030
7160112646036
oct33322552252
910441811150
103679114410
111618845124
12868165176
134682c039a
1426c8a51c6
15167edce90
hexdb4ad4aa

3679114410 has 96 divisors (see below), whose sum is σ = 10084718592. Its totient is φ = 929214720.

The previous prime is 3679114393. The next prime is 3679114463. The reversal of 3679114410 is 144119763.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117102 + ... + 145158.

It is an arithmetic number, because the mean of its divisors is an integer number (105049152).

Almost surely, 23679114410 is an apocalyptic number.

3679114410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3679114410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042359296).

3679114410 is an abundant number, since it is smaller than the sum of its proper divisors (6405604182).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3679114410 is a wasteful number, since it uses less digits than its factorization.

3679114410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28148 (or 28145 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3679114410 is about 60655.7038538009. The cubic root of 3679114410 is about 1543.7646706250.

The spelling of 3679114410 in words is "three billion, six hundred seventy-nine million, one hundred fourteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 47 62 90 93 94 141 155 186 235 279 282 310 423 465 470 558 705 846 930 1395 1410 1457 2115 2790 2914 4230 4371 7285 8742 13113 14570 21855 26226 28057 43710 56114 65565 84171 131130 140285 168342 252513 280570 420855 505026 841710 869767 1262565 1318679 1739534 2525130 2609301 2637358 3956037 4348835 5218602 6593395 7827903 7912074 8697670 11868111 13046505 13186790 15655806 19780185 23736222 26093010 39139515 39560370 40879049 59340555 78279030 81758098 118681110 122637147 204395245 245274294 367911441 408790490 613185735 735822882 1226371470 1839557205 3679114410